Integers do not automatically activate their quantity representation

Cohen, Dale J.

doi:10.3758/pbr.16.2.332

Cited by 79 publications

(217 citation statements)

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“…It is only when a large number of numerical stimuli are assessed (not categorized) and the numerical distance and physical similarity are pitted against one and other that the two competing hypotheses can be distinguished. This is exactly what Cohen (2009) did in a same-format same/different task when he demonstrated the primary influence of physical similarity rather than numerical distance. Since that time, several other researchers have confirmed Cohen's (2009) effect for same-format stimuli under a variety of conditions (García-Orza et al, 2012;Goldfarb, Henik, Rubinsten, Bloch-David, & Gertner, 2011).…”

Section: Cross-format Same/different Numerical Judgmentmentioning

confidence: 50%

“…This reduction eliminates much of the power to distinguish the numerical distance effect from other effects that are correlated with it. Cohen (2009) showed that physical similarity is strongly correlated with the numerical distance effect. García-Orza, Perea, Mallouh, and Carreiras (2012) found a similarly strong correlation between numerical distance and the physical similarity of Persian-Indian integers.…”

Section: Cross-format Same/different Numerical Judgmentmentioning

confidence: 99%

“…To understand these three symbols (the auditory symbol and the two visual symbols), the observer must learn the relation between each symbol and the quantity it represents, as well as the relation between the symbols themselves. To date, research in numerical cognition has primarily examined (a) whether or not all three of these symbolic formats (auditory, written, and digit) are associated with the same psychological representation of quantity (Campbell & Clark, 1988;Cohen Kadosh & Walsh, 2009;Dehaene, 1992;Gonzalez & Kolers, 1982;McCloskey, 1992;McCloskey, Caramazza, & Basili, 1985), (b) whether each symbol automatically activates its associated psychological representation of quantity (Cohen, 2009(Cohen, , 2010Dehaene, 1992;Tzelgov & Ganor-Stern, 2005) and (c) the qualities of their associated psychological representation(s) of quantity (Banks & Hill, 1974;Dehaene, 1997;Dehaene, Dupoux, & Mehler, 1990;Gallistel & Gelman, 2000;Gibbon & Church, 1981;Nieder & Miller, 2003). Very few studies have addressed the interaction between these symbols.…”

Section: Introductionmentioning

confidence: 99%

“…1 is a simplified depiction of a strict Multiple Quantity Representation model (e.g., Cohen, 2009Cohen, , 2010Cohen, Ferrell, & Johnson, 2002;Gonzalez 1 Dehaene's (1992) Triple Code model assumes that the format modules link to one and other and each format module links to the same abstract representation. This architecture is a version of Seidenberg and McClelland's (1989) distributed model of word recognition.…”

Section: Introductionmentioning

confidence: 99%

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Cross-Format Physical Similarity Effects and Their Implications for the Numerical Cognition Architecture

Cohen¹,

Warren²,

Blanc-Goldhammer³

2011

PsycEXTRA Dataset

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The sound |faIv| is visually depicted as a written number word "five" and as an Arabic digit "5." Here, we present four experiments -two quantity same/different experiments and two magnitude comparison experiments -that assess whether auditory number words (|faIv|), written number words ("five"), and Arabic digits ("5") directly activate one another and/or their associated quantity. The quantity same/different experiments reveal that the auditory number words, written number words, and Arabic digits directly activate one another without activating their associated quantity. That is, there are cross-format physical similarity effects but no numerical distance effects. The cross-format magnitude comparison experiments reveal significant effects of both physical similarity and numerical distance. We discuss these results in relation to the architecture of numerical cognition.

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Section: Cross-format Same/different Numerical Judgmentmentioning

confidence: 50%

Section: Cross-format Same/different Numerical Judgmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Cross-Format Physical Similarity Effects and Their Implications for the Numerical Cognition Architecture

Cohen¹,

Warren²,

Blanc-Goldhammer³

2011

PsycEXTRA Dataset

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show abstract

“…Despite the fact that some recent experiments have shown that the effects of congruity and numerical distance can be, to same extent, modulated on factors such as the characteristics of the task, the amount of practice, or the motivation of the participants (see Cohen, 2009;Defever, Sasanguie, Vandewaetere & Reynvoet, 2012;García-Orza, Perea, Abu-Mallou & Carreiras, 2012), all in all, the data support the automatic processing of numbers quantity. C3STA-CES7A CES7A-CES7A…”

Section: Footnotementioning

confidence: 61%

Is VIRTU4L larger than VIR7UAL? Automatic processing of number quantity and lexical representations in leet words.

García-Orza¹,

Comesaña²,

Piñeiro³

et al. 2016

Journal of Experimental Psychology: Learning, Memory, and Cogni

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Recent research has shown that leet words (i.e., words in which some of the letters are replaced by visually similar digits; e.g., VIRTU4L) can be processed as their base words without much cost. However, it remains unclear whether the digits inserted in leet words are simply processed as letters or whether they are simultaneously processed as numbers (i.e., in terms of access to their quantity representation). To address this question, we conducted 2 experiments that examined the size congruity effect (i.e., when comparisons of the physical size of numbers are affected by their numerical magnitudes) in a physical-size judgment task. Participants were presented with pairs of leet words that were nominally identical except for the embedded digit (e.g., VIR7UAL-VIRTU4L) and were asked to decide as quickly and accurately as possible which word in the pair appeared in a bigger font. In Experiment 1, we examined the congruity effect (congruent: VIRTU4L-VIR7UAL vs. incongruent: VIR7UAL-VIRTU4L vs. neutral: VIR7UAL-VIR7UAL) and the numerical distance effect (distance 1: PAN3L-P4NEL vs. distance 3: VIRTU4L-VIR7UAL). To examine whether the meaning of these words was accessed, we also manipulated word frequency (i.e., a marker of lexical access) in Experiment 2. Results revealed effects of congruity, distance, and word frequency, thus suggesting automatic access to both number quantity and word representations for leet words. These findings favor multidimensional accounts of number/word recognition.

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The Neurocognitive Bases of Numerical Cognition

Sella

Hartwright

Kadosh

2018

Stevens' Handbook of Experimental Psychology and Cognitive Neuroscience

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Numerical Cognition describes the processes that one uses to assimilate, ascribe and manipulate numerical information. This chapter is organised into two sections. The first draws heavily on data from Developmental and Experimental Psychology. We use this to outline core findings related to processing numerical information in humans. In particular, we describe the trajectory of the acquisition of basic numerical skills. Starting in early infancy, we outline the processes that are believed to underlie non-symbolic representation. Next, we summarise core studies that examine the representation of symbolic quantities (Arabic system). Lastly, we briefly report the relationship between basic numerical processing and mathematical achievement. The second part of the chapter explores evidence from Neuropsychology and Neuroscience. The core methodological approaches used are briefly outlined with sign-posting to relevant literature. Next, we examine data from early lesion studies, followed by a short review of one of the most influential models in the study of Numerical Cognition, the Triple Code Model. Lastly, we look at the neurocognitive features of number, such as different modes of representation and the processing of quantity. Throughout, the core literature plus recent advances are summarised, giving the reader a thorough grounding in the Neurocognitive Bases of Numerical Cognition.

show abstract

Integers do not automatically activate their quantity representation

Cited by 79 publications

References 20 publications

Cross-Format Physical Similarity Effects and Their Implications for the Numerical Cognition Architecture

Cross-Format Physical Similarity Effects and Their Implications for the Numerical Cognition Architecture

Is VIRTU4L larger than VIR7UAL? Automatic processing of number quantity and lexical representations in leet words.

The Neurocognitive Bases of Numerical Cognition

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